Search a number
-
+
155516606010 = 23253164186959
BaseRepresentation
bin1001000011010110000…
…0110001011000111010
3112212102012221010122200
42100311200301120322
510021444222343020
6155235432331030
714143563224463
oct2206540613072
9485365833580
10155516606010
115aa55084977
1226182243a76
131188545877c
1477542cbd6a
1540a307e590
hex243583163a

155516606010 has 96 divisors (see below), whose sum is σ = 418042460160. Its totient is φ = 40070246400.

The previous prime is 155516606009. The next prime is 155516606027. The reversal of 155516606010 is 10606615551.

155516606010 is a `hidden beast` number, since 15 + 5 + 516 + 60 + 60 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1744911 + ... + 1831869.

It is an arithmetic number, because the mean of its divisors is an integer number (4354608960).

Almost surely, 2155516606010 is an apocalyptic number.

155516606010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155516606010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209021230080).

155516606010 is an abundant number, since it is smaller than the sum of its proper divisors (262525854150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155516606010 is a wasteful number, since it uses less digits than its factorization.

155516606010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87644 (or 87641 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 155516606010 in words is "one hundred fifty-five billion, five hundred sixteen million, six hundred six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 641 930 1282 1395 1923 2790 3205 3846 5769 6410 9615 11538 19230 19871 28845 39742 57690 59613 86959 99355 119226 173918 178839 198710 260877 298065 357678 434795 521754 596130 782631 869590 894195 1304385 1565262 1788390 2608770 2695729 3913155 5391458 7826310 8087187 13478645 16174374 24261561 26957290 40435935 48523122 55740719 80871870 111481438 121307805 167222157 242615610 278703595 334444314 501666471 557407190 836110785 1003332942 1672221570 1727962289 2508332355 3455924578 5016664710 5183886867 8639811445 10367773734 15551660601 17279622890 25919434335 31103321202 51838868670 77758303005 155516606010